1209.6197 (H. Terças et al.)

Topological Wigner Crystal of Half-Solitons in a Spinor BEC    [PDF]

H. Terças, D. D. Solnyshkov, G. Malpuech

We consider a one-dimensional gas of half-solitons in a spinor Bose-Einstein condensate. We calculate the topological interaction potential between the half-solitons. Using a kinetic equation of the Vlasov-Boltzmann type, we model the coupled dynamics of the interacting solitons. We show that the dynamics of the system in the gaseous phase is marginally stable and spontaneously evolves towards a Wigner crystal.

View original: http://arxiv.org/abs/1209.6197